Energy and Work
Formulas: W = Fd ▪ Units of work are the joule (J)
W = Fdcosθ ▪ Use this formula if the object moves horizontally and you are given an angle ▪ Calculator must be in degree mode! ▪ Plug in the angle for θ
W = Fdsinθ ▪ Use this formula if the object moves vertically and you are given an angle ▪ Calculator must be in degree mode! ▪ Plug in the angle for θ
KE = ½ mv 2 Looking at this formula, what accounts for most of the kinetic energy?
ΔK = W The _______ in kinetic energy equals work; and the amount of work done represents the _______________in kinetic energy.
Example problem 1 A student lifts a box of books that weighs 185 N. The box is lifted m. How much work did the student do?
List all variables: 185 N is a _____________ m is a ___________ We’re solving for work… so W = ?
F = 185 N d = m W = ?
Example problem 2 A 0.18 kg ball falls a distance of 2.5 m. How much work does the force of gravity do on the ball?
m = 0.18 kg d = 2.5 m W = ? You need force and distance to find work, right? Do you have them?
Use F = ma to solve for force, then use force and distance to find work